Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²

Answers

Answer 1

Answer:

79.44 ft²

Step-by-step explanation:

Area (wall)

Area (trapezoid) - Area (circle)1/2 x (10 + 13) x 8 - 3.14 x 2²4 x 23 - 12.5692 - 12.5679.44 ft²

Related Questions

What is the volume of the rectangular prism in cubic yards?​

Answers

The volume of the rectangular prism is 1120 yd³.

What is a prism?

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

To calculate the volume of the rectangular prism, we use the formula below.

Formula:

V = LWH.......... Equation 1

Where:

V = Volume of the rectangular prismL = Length of the prismW = Width of the prismH = Height of the prism.

From the question,

Given:

L = 14 yardsW = 8 yardsH = 10 yards.

Substitute thee values into equation 1

V = 14×8×10V = 1120 yd³

Hence, The volume of the rectangular prism is 1120 yd³.

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Write a formula for function g in terms of function h.

Answers

Answer:

g(x) = h(x + 7) + 5

Step-by-step explanation:

Compare the corresponding points, the best is vertices

y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)

Find the difference of coordinates, the rule of translation right and up

x = 5 - (-2) = 7 y = - 2 - (- 7) = 5

The formula of g(x) in therms of h(x) is:

g(x) = h(x + 7) + 5

Answer:

g(x) = h(x - 7) + 5

Step-by-step explanation:

Vertex of a parabola

The turning point (stationary point) of the curve.

the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwards

To find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.

Vertex of h(x) = (-2, -7)

Vertex of g(x) = (5, -2)

Therefore, y = h(x) has been translated 7 units to the right and 5 units up.

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5

Therefore, the formula for g(x) in terms of h(x) is:

g(x) = h(x - 7) + 5

Learn more about transformations here:

https://brainly.com/question/27845947

(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:

a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.

Answers

#1

Clear shown in graph

H(0)=5

#2

No

At. no where graph passes through origin so y intercept is not 0 at anywhere

#3

Domain is x values

Domain =[0,oo)

#4

Range is y values set

Range=[5,50]

PLEASE HELP I WILL GIVE BRAINLY TO FIRST GOOD ANSWER

Answers

Answer:

(x + 8)(x + 4)

Step-by-step explanation:

x² + 12x + 32                    Rewrite

x² + 4x + 8x + 32             Factor

x(x + 4) 8(x + 4)                

(x + 8)(x + 4)                    Final answer

Hope this helps!

Step-by-step explanation:

if x=1 --> 1 + 12 + 32 = 45

if x=2 --> 4+ 24 + 32 = 60

if x=3 --> 9+36+32 = 77

if x=4 --> 16 + 48 + 32 = 96

...

so, with the same logic we'll find the equation:

(x + 8)(x + 4)  

(because it's related to each of the equations on the top )                

I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)

Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 msrp, a 79% residual value, and a money factor of 0.00365. a. $358.64 b. $128.08 c. $169.17 d. $105.85 please select the best answer from the choices provided a b c d

Answers

Answer:

A

Step-by-step explanation:

i did this before and got it correct

Find the volume of a cone with a raduia of 13 and a height of 32

Answers

the volume is 5663.24436

Jimmy is playing a game at a state fair, where he is throwing a dart at a target. For each throw, Jimmy can choose to throw the dart at a rectangular target or at a circular target. To score a point during the game, Jimmy must hit the bulls-eye of the target that he chooses. So far, Jimmy has thrown the dart at the rectangular target 9 times, and he has thrown the dart at the circular target 11 times.

When Jimmy has thrown the dart at the rectangular target, he has missed the bulls-eye 6 times. When Jimmy has thrown the dart at the circular target, he has missed the bulls-eye 9 times.

Based on the information above, if Jimmy's goal is to score a point on his next throw, which target should he choose?

Answers

Using proportions, it is found that Jimmy should target the rectangular target, as he has hit a higher proportion of throws there.

What is a proportion?

A proportion is a fraction of a total amount.

In the rectangular target, he has hit it 3 out of 9 times, hence the proportion is:

pR = 3/9 = 0.3333.

In the circular target, he has hit it 2 out of 11 times, hence the proportion is:

pC = 2/11 = 0.1818.

Due to the higher proportion of hits, he should throw at the rectangular target.

More can be learned about proportions at https://brainly.com/question/24372153

A local maximum of the function f(x) occurs for which x-value?​

Answers

Answer:

-4

Step-by-step explanation:

This is according to my sense. please consider other answers as well

In given figure ,AD,BE and CF are the medians of triangle ABC. Prove that AB vector+BEVector+CF vector = 0
Need fast
Exam questions ​

Answers

Answer:

they all meet at them same poin

Step-by-step explanation:

please help me find m<G​

Answers

Answer:

m∠G = 60°

Step-by-step explanation:

This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:

m∠H + m∠F + m∠E + m∠G = 360

90 + 150 + m∠E + m∠G = 360

Since this is a kite, m∠E = m∠G, so the equation can be represented as:

90 + 150 + 2(m∠G) = 360

Finally, solve by isolating m∠G:

2(m∠G) = 120

m∠G = 60°

On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans

Answers

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

I NEED HELP ASAP AND WILL GIVE BRAINLIEST !!

At a carnival, tickets were given to the visitors for games and rides. The ratio of the number of adults
to the number of children was 2: 5. Among the children, the ratio of
the number of girls to the number of boys was 1: 3. Each adult received 2 tickets
received 4 tickets. A total of 2976 tickets were given out.
(A) what fraction of the visitors are boys? Express your answer in its simplest form.
(b) How many more boys than girls were there at the carnival?

Answers

Correct answer:
r = 1:4

Step-by-step explanation:
a=40
b=10

r=b/a=10/40=0.25

Hope this helps i tried my best

Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

Answers

Answer:

put x=-1, and the rest will be easy

If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives

f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0

Solve for k; you end up with k = -3.

Translate this phrase into an algebraic expression.
50 less than twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

What is −1/8÷7/24?

Enter your answer in the box as a fraction in simplest form.

Answers

with fraction division, remember keep, change, flip!
that makes the expression this: -1/8 • 24/7
multiply them to get this: -24/56
then simplify by dividing the terms by 8: -3/7

-3/7 is the final answer.

Round 2,034,627,105 to the nearest ten thousand.

Answers

Answer:

2,034,630,000

Step-by-step explanation:

2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000

22 pints = what fluid ounces

Answers

Answer:

422.734 fluid ounces

Step-by-step explanation:

For the approximate result you have to multiply the volume value by 19.215

Find the value of x.*

20
48
36
60

Answers

Answer:

B. 48

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles

x/64 = (100 - 64)/xx/64 = 36/xx² = 64*36x² = 8²*6²x = 8*6x = 48

Correct choice is B

Rest Hypotenuse part of triangle=100-64=36

Now

x²=64(36)x²=8(8)(6)(6)x²=8²6²x=8(6)x=48

MATH: If Mang Mario have 36 ducklings and 24 chicks. What is the greatest number of each pet that he put inside the basket, if the basket has the same number of pets? Find its Greatest Common Factor (GCF) using Prime Factorization.​

Answers

Answer:

I don't know because I can't understand English language

Answer:

12.

Step-by-step explanation:

Prime factors:

36 = 2*2*3*3

24 = 2*2*2*3

Picking out the commo factors:

GCF = 2*2*3 = 12.

PLS HELP I'LL GIVE BRAINLIEST

Expand The Expression: -4(8+5t)

Answers

Answer:

[tex]\Longrightarrow:\boxed{\sf{-32-20t}}[/tex]

Step-by-step explanation:

Use the distributive property to expand the expression.

Distributive property:

→ A(B+C)=AB+AC

-4(8+5t)

Multiply.

→ -4*8=-32

⇒ -4*5t=-20t

Rewrite the problem down.

→ = -32-20t

Therefore, the correct answer is -32-20t.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:-32-20t

Step-by-step explanation:

-4 times 8 is -32 and -4 times 5t is -20t

Hope this helps! :)

Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.1 x - 2 = 0

a.
x = 2.3 and x = -29.2
c.
x = 5.6 and x = -12.2
b.
x = 7.8 and x = -12.8
d.
x = 1.3 and x = -22.6

Answers

Answer:

The option b) is correct  (x = 7.8 and x = -12.8)

For the verification picture is below

I hope my answer helps you.

help me please thank you soo much

Answers

The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.

How do you convert fractions to decimals?

Divide the top number or numerator into the bottom number or denominator.

6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33

How to organize the numbers?

When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.

Based on this, the correct order is:

33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75

Learn more about numbers in: https://brainly.com/question/17429689

Use the functions and the scenario to solve the problem.

f(x)=1/2x+6
g(x)=x−3

Shiloh and Leanne are asked to evaluate f(x)−g(x).

Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.

Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.

Evaluate each student's answer.

Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.

Answers

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

How to estimate the student's answer?

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

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Does the point (-5, 10) satisfy the inequality y = 5x + 9?

Yes or no

Answers

Answer:

no

you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10

so it does not satisfy

Hello!

In order to see whether or not a point satisfies an equation, just plug in the values:-

Instead of y, plug in 10:-

10=5x+9

Instead of x, plug in -5:-

10=5(-5)+9

Solve:-

10=-25+9

10=-16

See? We have a false statement.

Hence, this point does not satisfy the inequality.

I hope it helps you.

If you have any queries regarding my answer, please comment :)

[tex]\bf{CupcakeRealm8701~:)}[/tex]

I need help asp pls!!!!

Answers

Answer:

y= -60x+ 200

Step-by-step explanation:

Given: Initial distance from Kingston = 200 miles

Distance from Kingston after 2 hours= 80 miles

Step 1:

The general model for linear equations is given as:

y= ax+ b

where

a= slope

b= y-intercept

Step 2:

The y-intercept represents the initial value: 200 miles from the Kingston

b= 200

Therefore,

y= ax+ 200

Step 3:

As the car gets closer to Kingston, the distance keeps decreasing.

The car having covered 80miles need to cover another 120 miles after 2 hours

Hence, the slope would be negative

Slope:

a= -120 miles/2 hours

a=-60

The model therefore is:

y= -60x+ 200

Final answer: Option (D)

The model is : y= -60x+ 200

Solve for x and round to nearest tenth please:)

Answers

Answer:

Step-by-step explanation:

[tex]Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]

[tex]\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x[/tex]

x = 2.7

Answer:

x = 2.7  to nearest tenth.

Step-by-step explanation:

sin 23 = x / 7

x = 7 sin 23

x = 2.735

How long to have 1 bitcoin when you put in 1 a day with a growing rate of 3.3% per 3 months. Current price of bitcoin 39,110. Each mont is 30 days.

Answers

Answer:

5 years

Step-by-step explanation:

The table shows the possible outcomes of spinning the given
spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a
head.
5
3
4
1 2 3 4 5
h1,
h2,h 3, 4, 5,h
t 1, 2, 3, t4, t5,t
the probability of spinning a 1 and tossing a head is

Answers

Spinning the spinner and tossing the coin is an illustration of probability

The probability of spinning a 1 and tossing a head is 0.10

How to determine the probability?

From the table, we have the following parameters:

Total outcomes, n = 10

A 1 and a head, n(H1) = 1

So, the probability of spinning a 1 and tossing a head is:

P(H1) = n(H1)/n

Substitute known values

P(H1) = 1/10

Evaluate the quotient

P(H1) = 0.10

Hence, the probability of spinning a 1 and tossing a head is 0.10

Read more about probability at:

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Find the slope of the line that
passes through (4, 7) and (2, 10).
Simplify your answer and write it
as a proper fraction, improper
fraction, or integer.

Answers

-3/2 (improper fraction)
-1.5 (integer)
-1 1/2 (proper fraction)
is the answer

Find the missing sides (pls)

Answers

Across any line is 180 degrees. To opposite angles have the same value.
153 is 180-27. So c and b equal 153.
This make since angle looks more than 90 (corner of paper)
Mark as best!

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

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But just here some people stop and tell us that everybody must not pursue happiness in his or her own way. They say that to do so absolutely would be to have no protection against the action of an individual. These well-meaning people only see half of what is involved in the proposition. They look at a single individual and lose sight of all others. They do not think about how every other individual beside the one in question is equally due the same freedom. They do not consider how each is free within the area of his or her individual sphere. They do not recognize the fact that the moment one person gets out of his sphere and into the sphere of another, that other must protect him or herself against such an invasion of rights. To all such persons we assert: it is freedom and not despotism which we advocate, and we will demand that individuals be restricted to their freedom if it violates that of others. 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